Subtract 5X squared+2X -11 from 3X squared +8X -7

Answers

Answer 1

Answer: Subtraction of polynomials are done just as normal subtraction, but you can only subtract those with the same variables and exponents. This is shown below:

3x^2 + 8x - 7
- 5x^2 + 2x - 11
----------------------
-2x^2 + 6x + 4

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The sail of a boat is in the shape of a right triangle, as shown below:The sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the
Which expression shows the length, in meters, of the base of the sail? a. 7 cosec 50°
b. 7 divided by sec 50 degrees
c. 7 divided by cosec 50 degrees
d. 7 cot 50°

Answers

I think the correct answer among the choices given is option D. The base of the sail can be calculated using the expression 7 cot 50°. The cotangent function of an angle in a triangle is the adjacent side of the angle divided by the opposite side of the angle. From the given data, this is the best function to use.

Answer:

7 cot 50

Step-by-step explanation:

Simplify (-80/-20)
-4
4
-40
40

Answers

Answer:

Step-by-step explanation:

the negatives cancel and 80/20 equals 4

Answer:

-80/-20=80/20=4

Step-by-step explanation:

A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 29 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 49 parts gasoline and 1 part oil?

Answers

1 1/3 gallons should be added.

if 30 parts = 2 gallons
therefore 15 parts = 1 gallon

49-29 = 20

20 - 15 (aka 1 part) = 5
5/15 = 1/3

Final answer:

To adjust the gasoline to oil ratio to 49:1 in a 2 gallon mixture, the forester must add approximately 1.333 gallons of gasoline.

Explanation:

Given that there is a mixture of 2 gallons that is constituted of 29 parts of gasoline and 1 part of oil, it translates into a 30 parts mixture (29 parts gasoline + 1 part oil). In a single gallon of mixture, there are 29/30 gallons of gasoline and 1/30 gallon of oil.

When additional gasoline is added, the amount of oil in the mixture remains constant at 1/30 gallon per gallon while the amount of gasoline increases. To hit a ratio of 49 parts gasoline to 1 part oil, there should be 49 times more gasoline than oil. Since we know the amount of oil in a mixture is 1/30, the amount of gasoline added per gallon should be 49/30 gallons.

However, we start with 29/30 gallons of gasoline, therefore extra gasoline that will be needed per gallon is (49/30) - (29/30) = 20/30 = 2/3 gallons. Given that the mixture is 2 gallons, the forester should add 2/3*2 = 4/3 gallons or approximately 1.333 gallons of gasoline.